Finding the Third Proportional to 282,384 and 620,064

Step by Step Solution

1. Step 1: Write the proportion equation
   282,384 : 620,064 = 620,064 : x
2. Step 2: Convert to fraction form
   282,384/620,064 = 620,064/x
3. Step 3: Cross multiply
   282,384x = 620,064 × 620,064
4. Step 4: Simplify right side
   282,384x = 384,479,364,096
5. Step 5: Solve for x
   x = 384,479,364,096/282,384
6. Step 6: Final answer
   x = 1,361,547.98